The Palm Springs Tram has a maximum capacity of 81 adults (80 passengers plus the operator) and 14290 pounds. If 81 adults were on board at the weight limit, the average weight per person would be 176.4 pounds. Assuming that the average weight of an adult male is 189.8 pounds with a standard deviation of 59.1 pounds, if 81 random adult men are on board, what is the probability that the mean weight of the men is greater than 176.4 pounds? Round answer to 4 decimal places